On the lattice point problem for ellipsoids
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Publication:4345826
DOI10.4064/aa-80-2-101-125zbMath0871.11069OpenAlexW1579774025MaRDI QIDQ4345826
Friedrich Götze, Vidmantas Bentkus
Publication date: 29 July 1997
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/207031
number of lattice pointsdouble large sieve boundsmultiplicative type inequality for trigonometric sumsuniform error bounds for ellipsoids
Related Items (15)
On small values of indefinite diagonal quadratic forms at integer points in at least five variables ⋮ Systems of quadratic Diophantine inequalities ⋮ Quadratic estimates for the number of integer points in convex bodies ⋮ Quadratic forms and systems of forms in many variables ⋮ Strichartz estimates for the Schroedinger equation on non-rectangular two-dimensional tori ⋮ Integer Points in Large Bodies ⋮ On the value distribution of the Epstein zeta function in the critical strip ⋮ Explicit rates of approximation in the CLT for quadratic forms ⋮ On the generalized circle problem for a random lattice in large dimension ⋮ Quadratic diophantine inequalities ⋮ Uniform rates of approximation by short asymptotic expansions in the CLT for quadratic forms ⋮ Mean square discrepancy bounds for the number of lattice points in large convex bodies ⋮ On the Bethe-Sommerfeld conjecture for the polyharmonic operator. ⋮ Uniform bounds for lattice point counting and partial sums of zeta functions ⋮ Distribution of values of quadratic forms at integral points
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